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Neporo4naja [7]
2 years ago
12

Help help help help help

Mathematics
1 answer:
QveST [7]2 years ago
6 0

Answer:

A)

Step-by-step explanation:

Let me know if anything is unclear :)

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The size of a television is given by the length ofthe diagonal of the screen. the ratio of the height to the width of wide flat-
lbvjy [14]
The diagonal of the tv screen is given by:
 d = root ((w) ^ 2 + (h) ^ 2)
 Where,
 w: width
 h: height
 In addition we have the following relationship:
 h / w = 8/15
 Thus,
 For the width:
 d = root ((w) ^ 2 + ((8/15) w) ^ 2)
 For the high:
 d = root (((15/8) h) ^ 2 + (h) ^ 2)
 Answer:
 
The expressions for the width and height of a wide-screen tv in terms of the length of its diagonal are:
 
d = root ((w) ^ 2 + ((8/15) w) ^ 2)
 
d = root (((15/8) h) ^ 2 + (h) ^ 2)
5 0
3 years ago
Find the general solution of the given higher-order differential equation. d3u dt3 + d2u dt2 − 2u = 0
STALIN [3.7K]

\dfrac{\mathrm d^3u}{\mathrm dt^3}+\dfrac{\mathrm d^2u}{\mathrm dt^2}-2u=0

This ODE has characteristic equation

r^3+r^2-2=(r^3-r)+(r^2+r-2)=r(r^2-1)+(r+2)(r-1)

=(r(r+1)+(r+2))(r-1)=(r^2+2r+2)(r-1)=0

which has roots at r=1,-1\pm i. Then the characteristic solution to the ODE is

u(t)=C_1e^t+C_2e^{(-1+i)t}+C_3e^{(-1-i)t}

\implies\boxed{u(t)=C_1e^t+C_2e^{-t}\cos t+C_3e^{-t}\sin t}

6 0
3 years ago
I need help please .
LuckyWell [14K]

Answer:

b

Step-by-step explanation:

6 0
2 years ago
Help anyone plz?????
ryzh [129]

Answer:

.

Step-by-step explanation:

8 0
3 years ago
The ratio between the volumes of two cubes is 125 to 216. what is the ratio between their respective surface areas?
MAVERICK [17]
Volume of a cube is length * width * height. Because it's a cube, all of these lengths are the same measurement so rather than doing V = l*w*h, we can do one of the measurements cubed, let's call it x.

So Volume = x³. So if we are given the volume, we can the length by doing the cube root. 

∛125 = 5
∛216 = 6

Surface area of a cube = 6x². So now we plug both of these measurements into the formula. 

For 5:

SA = 6(5)² = 6(25) = 150

For 6:

SA = 6(6)² = 6(36) = 216

The ratio of their surface areas is 150:216 or if you simplify it by dividing both by the GCF of 6, 25:36
8 0
2 years ago
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